Rigidity and flexibility of virtual polytopes |
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Authors: | G Panina |
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Institution: | (1) Institute for Informatics and Automation, V.O. 14 line 39, 199178 St. Petersburg, Russia |
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Abstract: | All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski differences (virtual polytopes) can be flexible
with any finite freedom degree. We derive some sufficient rigidity conditions for virtual polytopes and present some examples
of flexible ones. For example, Bricard's first and second flexible octahedra can be supplied by the structure of a virtual
polytope. |
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Keywords: | Virtual polytope rigidity flexion Bricard's octahedron MSC (2000) 52C25 |
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